2. Determine the definition of the piece wise linear function shown in each of the graphs

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Determine the definition of the piece wise linear function shown in each of the graphs 

3. Consider the following sets of data points. Decide in which cases you would chose a piecewise linear model to fit the data points. 

4. For any part of question 3 that was suitable for meddling with piecewise linear function: a) draw this model “by eye” b) estimate the value of y when x=12 

6. Consider the set of data points in the table

3 Consider ihe following seis of data points.
Decide in which cases you would choose
a piecewise linear model to fit the data
poinis.
2 Determine the definition of the piecewise
linear function shown in each of the graphs.
5.
20
4.
3-
20
18
2-
12
-4
-3
-2 -1
2 3 4
4. 12 16 20 24 28 32 36
-4SNS...
16
くxく3
14
12
10-
4-
21
9 10 it 12 13 14
3
2
14
12
10
43
-2
-1
3
4.
6-
...<xS2
Stx) =
...<N$4
Transcribed Image Text:3 Consider ihe following seis of data points. Decide in which cases you would choose a piecewise linear model to fit the data poinis. 2 Determine the definition of the piecewise linear function shown in each of the graphs. 5. 20 4. 3- 20 18 2- 12 -4 -3 -2 -1 2 3 4 4. 12 16 20 24 28 32 36 -4SNS... 16 くxく3 14 12 10- 4- 21 9 10 it 12 13 14 3 2 14 12 10 43 -2 -1 3 4. 6- ...<xS2 Stx) = ...<N$4
4 Fur any part of question3 that was suinable
for modelling with a piecewise lincar function:
Draw this model "by eye".
b Estimate the value of y wvhen x= 12.
5 Consider the set of data points in the table.
46
9 10.5 12 13 15 14 17 16 18
y 53 48 4 4.2 3.4 3.1
3.
247.3 B 11S 11 15
a Plot these points on a scatter diagram.
b Find a piccewise linear model that best
lits these data points.
C Draw your niodel on the same set of
axes used for pari a.
d Hence estimate the value of y when:
i x= 8
il x 15.5
Transcribed Image Text:4 Fur any part of question3 that was suinable for modelling with a piecewise lincar function: Draw this model "by eye". b Estimate the value of y wvhen x= 12. 5 Consider the set of data points in the table. 46 9 10.5 12 13 15 14 17 16 18 y 53 48 4 4.2 3.4 3.1 3. 247.3 B 11S 11 15 a Plot these points on a scatter diagram. b Find a piccewise linear model that best lits these data points. C Draw your niodel on the same set of axes used for pari a. d Hence estimate the value of y when: i x= 8 il x 15.5
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